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  • https://stats.libretexts.org/Courses/Fullerton_College/Math_121%3A__Support_for_Introductory_Probability_and_Statistics/05%3A_Decimals_Fractions_and_Percents/5.08%3A_Dividing_Fractions
    \[ \begin{aligned} \frac{6}{35} \div \frac{33}{55} = \frac{6}{35} \cdot \frac{55}{33} ~ & \textcolor{red}{ \text{ Invert the divisor (second number).}} \\ = \frac{6 \cdot 55}{35 \cdot 33} ~ & \textcol...\[ \begin{aligned} \frac{6}{35} \div \frac{33}{55} = \frac{6}{35} \cdot \frac{55}{33} ~ & \textcolor{red}{ \text{ Invert the divisor (second number).}} \\ = \frac{6 \cdot 55}{35 \cdot 33} ~ & \textcolor{red}{ \text{ Multiply numerators; multiply denominators.}} \\ = \frac{(2 \cdot 3) \cdot (5 \cdot 11)}{(5 \cdot 7) \cdot (3 \cdot 11)} ~ & \textcolor{red}{ \text{ Factor numerators and denominators.}} \\ = \frac{2 \cdot \cancel{3} \cdot \cancel{5} \cdot \cancel{11}}{ \cancel{5} \cdot 7 \cdot \can…

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